what is a polynomial
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- A polynomial is a monomial or the sum or difference of monomials. Each monomial is called a term of the poynomial. Important!:Terms are seperated by addition signs and subtraction signs, but never by multiplication signs. A polynomial with one term is called a monomial.
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Polynomial According to the Oxford English Dictionary, polynomial succeeded the term binomial, and was made simply by replacing the Latin root bi-with the Greek poly- , which comes from the Greek word for many. The word polynomial was first used in the 17th century.
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polynomial Polynomial is defined as something related to a mathematical formula or expression with several algebraic terms. The definition of a polynomial is a mathematical formula or expression with several algebraic terms. An example of a polynomial is the mathematical expression 2x² + 4x³ + 3. an expression or name consisting of more than two terms; specif.,
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- Example 2: Write the polynomial 7 x 2 −6.5 x 8 +9 x 4 +3− x in standard form.(i) Polynomial in many variables: A polynomial in many variables is the sum of one or more terms of the form ax n y m z k (could have more variables!) with a ∈ and n, m, and k non-negative integers. The degree of ax n y m z k is n + m + k.xample 2: Write the polynomial 7 x 2 −6.5 x 8 +9 x 4 +3− x in standard form.(i) Polynomial in many variables: A polynomial in many variables is the sum of one or more terms of the form ax n y m z k (could have more variables!) with a ∈ and n, m, and k non-negative integers. The degree of ax n y m z k is n + m + k.
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Polynomial The process of performing such a division is called long division, with synthetic division being a simplified method of recording the division. For any polynomial, divides, meaning that the polynomial quotient is a rational polynomial or, in the case of an integer polynomial, another integer polynomial (N.
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polynomial A polynomial is a mathematical expression consisting of a sum of terms, each term including a variable or variables raised to a power and multiplied by a coefficient. The simplest polynomials have one variable. anxn + an-1xn-1 + ... where the a's represent the coefficients and x represents the variable.
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prime polynomial prime polynomial. (mathematics). A polynomial whose only factors are itself and constants. 1  Facebook.
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- Polynomials in two variables are algebraic expressions consisting of terms in the form. The degree of each term in a polynomial in two variables is the sum of the exponents in each term and the degree of the polynomial is the largest such sum. Here are some examples of polynomials in two variables and their degrees.
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Degree of a polynomial For polynomials in two or more variables, the degree of a term is the sum of the exponents of the variables in the term; the degree (sometimes called the total degree) of the polynomial is again the maximum of the degrees of all terms in the polynomial.
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Degree of a polynomial The degree of a polynomial is the highest degree of its terms when the polynomial is expressed in its canonical form consisting of a linear combination of monomials. The degree of a term is the sum of the exponents of the variables that appear in it.or polynomials in two or more variables, the degree of a term is the sum of the exponents of the variables in the term; the degree (sometimes called the total degree) of the polynomial is again the maximum of the degrees of all terms in the polynomial.
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Polynomial An example of a polynomial of a single indeterminate (or variable), x, is x2 − 4x + 7, which is a quadratic polynomial. Polynomials appear in a wide variety of areas of mathematics and science.
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Degree of a polynomial From Wikipedia, the free encyclopedia. The degree of a polynomial is the highest degree of its terms when the polynomial is expressed in its canonical form consisting of a linear combination of monomials. The degree of a term is the sum of the exponents of the variables that appear in it.rom Wikipedia, the free encyclopedia. The degree of a polynomial is the highest degree of its terms when the polynomial is expressed in its canonical form consisting of a linear combination of monomials. The degree of a term is the sum of the exponents of the variables that appear in it.
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Interpolation Polynomial interpolation is a generalization of linear interpolation. Note that the linear interpolant is a linear function. We now replace this interpolant with a polynomial of higher degree.
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Polynomial The solutions of this equation are called the roots of the polynomial; they are the zeroes of the function f (corresponding to the points where the graph of f meets the x-axis). A number a is a root of P if and only if the polynomial x − a (of degree one in x) divides P.
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Polynomial long division Polynomial long division. In algebra, polynomial long division is an algorithm for dividing a polynomial by another polynomial of the same or lower degree, a generalised version of the familiar arithmetic technique called long division. It can be done easily by hand, because it separates an otherwise complex division problem into smaller ones.
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Algebra - Basic Definitions A polynomial can have constants, variables and the exponents 0,1,2,3,... But it never has division by a variable. Monomial, Binomial, Trinomial. There are special names for polynomials with 1, 2 or 3 terms: Like Terms. Like Terms are terms whose variables (and their exponents such as the 2 in x 2) are the same. In other words, terms that are like each other. (Note: the coefficients can be different)
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Polynomial The word polynomial joins two diverse roots: the Greek poly, meaning many, and the Latin nomen, or name. It was derived from the term binomial by replacing the Latin root bi- with the Greek poly-.
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- In statistics, polynomial regression is a form of regression analysis in which the relationship between the independent variable x and the dependent variable y is modelled as an nth degree polynomial in x. Polynomial regression fits a nonlinear relationship between the value of x and the corresponding conditional mean of y, denoted E(y |x), and has been used to describe nonlinear phenomena such as the growth rate of tissues, the distribution of carbon isotopes in lake sediments, and the ...
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Factor 1 The factor of a polynomial P(x) is any polynomial that divides evenly into the polynomial P(x). 2  For example, y - 1 is a factor of y 2 - 3y + 2. 3  Factor tree is the graphical representation of the factors of a number.
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- Definition of polynomial. : a mathematical expression of one or more algebraic terms each of which consists of a constant multiplied by one or more variables raised to a nonnegative integral power (such as a + bx + cx2)
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- The graphs of all polynomial functions. are smooth and continuous. A polynomial function of degree n has the form. where n is a positive integer and The polynomial functions that have. the simplest graphs are monomials of the form where n is an inte-. ger greater than zero. If n is even, the graph is similar to the graph of. and touches the axis at the x-intercept.
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Polynomials Classification of Polynomials. Ascending Order-An ordering of terms of a polynomial in which the degree of each term is at least as large as the degree of the preceding term. Binomial-A polynomial with two terms. Common Factor-A factor of all the terms in an expression. Degree-of a monomial. The sum of the exponents of its variables. of a polynomial. The largest of the degrees of its individual terms. Descending Order-An ordering of terms of a polynomial in which the degree of each term is no larger than the degree of the preceding term.
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Polynomial Arithmetic. 1  A sum of polynomials is a polynomial. 2  A product of polynomials is a polynomial. 3  A composition of two polynomials is a polynomial, which is obtained by substituting a variable of the first polynomial by the second polynomial. 4  The derivative of the polynomial anxn + an−1xn−1 + ...
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Polynomial It consists of three terms: the first is degree two, the second is degree one, and the third is degree zero. Polynomials of small degree have been given specific names. A polynomial of degree zero is a constant polynomial or simply a constant.
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Polynomial The graph of a polynomial function of degree 3. In mathematics, a polynomial is an expression consisting of variables (or indeterminates) and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents. An example of a polynomial of a single indeterminate x is x2 − 4x + 7.
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polynomial Part of the Computing fundamentals glossary: A polynomial is a mathematical expression consisting of a sum of terms, each term including a variable or variables raised to a power and multiplied by a coefficient.The simplest polynomials have one variable. A one-variable (univariate) polynomial of degree n has the following form:hen n = 2, it is a quadratic equation; when n = 3, it is a cubic equation; when n = 4, it is a quartic equation; when n = 5, it is a quintic equation. The larger the value of n, the more difficult it is to find all the roots of a univariate polynomial equation. Some polynomials have two, three, or more variables.